Hostname: page-component-7bb8b95d7b-dvmhs Total loading time: 0 Render date: 2024-09-24T20:50:42.138Z Has data issue: false hasContentIssue false

Numerical Simulations of Electromigration and Stress-Driven Diffusion in Polycrystalline Interconnects

Published online by Cambridge University Press:  10 February 2011

G. L. Povirk*
Affiliation:
Department of Mechanical Engineering, Yale University, New Haven, CT 06520, gary.povirk@yale.edu
Get access

Abstract

Finite element solutions to problems of electromigration and stress-driven diffusion in polycrystalline films are presented. The numerical formulation accounts for diffusion along grain boundaries and through the bulk. The procedures are validated by comparing the finite element solutions to an existing analytic solution of an idealized, isolated grain boundary lying parallel to current flow. A simple polycrystalline interconnect is then considered and the effects of diffusion along each grain boundary and through the bulk are each added separately to the analysis so that the importance of each mechanism can be ascertained. In some cases, the inclusion of additional diffusion paths result in significant reductions in predicted stress levels.

Type
Research Article
Copyright
Copyright © Materials Research Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1 Korhonen, M.A., Borgesen, P., Tu, K.N., and Li, C.Y., J. Appl. Phys. 73, p. 3790 (1993).Google Scholar
2. Thouless, M.D., Yu, H., Zhao, Z., and Yang, W., J. Mech. Phys. Solids 44, p. 371 (1996).Google Scholar
3. Kirchheim, A.R., Acta Metall. Mater. 40, p. 309 (1992).Google Scholar
4. Bower, A. F. and Freund, L. B., Materials Reliability in Microelectronics, edited by Oates, A.S., Filter, W.F., Rosenburg, R., Greer, A.L., and Gadepally, K., (Mater. Res. Soc. Proc, 1995) p. 177 Google Scholar
5. Herring, C., J. Appl. Phys. 21, p. 437 (1950).Google Scholar
6. Bower, A. F. and Freund, L. B., J. Appl. Phys. 74, p. 3855 (1993).Google Scholar
7. Blech, I.A. and Herring, C., Appl. Phys. Lett. 29, p. 131 (1976)Google Scholar